5134135440 has 480 divisors, whose sum is σ = 19551248640. Its totient is φ = 1091211264.

The previous prime is 5134135423. The next prime is 5134135469. The reversal of 5134135440 is 445314315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5134135398 and 5134135407.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47102106 + ... + 47102214.

It is an arithmetic number, because the mean of its divisors is an integer number (40731768).

Almost surely, 2^5134135440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5134135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775624320).

5134135440 is an abundant number, since it is smaller than the sum of its proper divisors (14417113200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5134135440 is a wasteful number, since it uses less digits than its factorization.

5134135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5134135440 is about 71652.8815889494. The cubic root of 5134135440 is about 1725.1324342767.

Adding to 5134135440 its reverse (445314315), we get a palindrome (5579449755).

The spelling of 5134135440 in words is "five billion, one hundred thirty-four million, one hundred thirty-five thousand, four hundred forty".